Finding the Third Proportional to 19,417 and 42,509

Step by Step Solution

1. Step 1: Write the proportion equation
   19,417 : 42,509 = 42,509 : x
2. Step 2: Convert to fraction form
   19,417/42,509 = 42,509/x
3. Step 3: Cross multiply
   19,417x = 42,509 × 42,509
4. Step 4: Simplify right side
   19,417x = 1,807,015,081
5. Step 5: Solve for x
   x = 1,807,015,081/19,417
6. Step 6: Final answer
   x = 93,063.56